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Stabilised finite element discretisations for the coupling of transient incompressible fluid flow and transport
Antragsteller
Professor Dr. Gunar Matthies
Fachliche Zuordnung
Mathematik
Förderung
Förderung von 2011 bis 2013
Projektkennung
Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 202889020
We consider finite element methods of coupled problems of transient incompressible fluid flow and transport. Different time discretisations will be used. Since flow and transport problems are generally convection-dominant, stabilised finite element discretisations in space will be applied. We will study theoretically and numerically the influence of different time integration schemes and different stabilisation techniques on accuracy and stability. Of particular interest is the interaction between time discretisation and spatial stabilisation. We will carry out numerical studies to obtain an insight how to choose the stabilisation parameters precisely.
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